The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.
What is a range?A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.
How to determine the range?Based on the graph of the two points, we can logically deduce the following information:
The least value on the y-axis is 0.The greatest value on the y-axis is 7.The endpoints on the y-axis are 0 and 7.Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.
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What is the sum? startfraction 2 over x squared endfraction startfraction 4 over x squared endfraction
Answer:
6/x²
Step-by-step explanation:
Rational expressions are added the same way numerical fractions are added. Their sum is the quotient of the sum of numerators, and the common denominator.
__
fraction sumThe given fractions already have the same denominator, so we simply add their numerators.
[tex]\dfrac{2}{x^2}+\dfrac{4}{x^2}=\dfrac{2+4}{x^2}=\boxed{\dfrac{6}{x^2}}[/tex]
Solve for y.
Enter your answer in the box.
Answer:
y=10
Step-by-step explanation:
Since this triangle has equal length sides, it is equilateral and also has equal measured angles. This means that each angle is 180/3=60 degrees.
To solve for y, we can do 5y+10=60. Simplifying, we get
5y=50
y=10.
Answer:
4
Step-by-step explanation:
So all the angles will have the same value. In a triangle all the angles will add up to 180, so each angle would have to be 60 degrees. So to know Y we need 6x+6=5y+10. So subtract 10 from each side, then subtract 6x from each side to get 4=x
Amanda think of a number, a. She subtract 4 then multiples the result by 2. Write an expression for her number?
a company's stock begins the week with a price of 43.85 per share the price changes by 2.70 each day for 2 days then the price changes by -1.10 each day for 2 days on the last day the price changes by -4.45 what is the price per share of the company's stock after those 5 days
Step-by-step explanation:
so, in other words, the price is
43.85 + 2.7 + 2.7 - 1.1 - 1.1 - 4.45 =
= 43.85 + 5.4 - 2.2 - 4.45 = 43.85 + 3.2 - 4.45 =
= 43.85 - 1.25 = 42.60
please place the dot for me(20 points will give brainliest!!!)
Answer:
a. t = 3 + √15 or t = 3 - √15
b. t = 6.87 or t = -0.87
Step-by-step explanation:
a.
Given : t² = 6t + 6
t² = 6t + 6 ⇔ t² - 6t + 6 = 0
USING THE QUADRATIC FORMULA:
[tex]t=\frac{6\pm \sqrt{\left( -6\right)^{2} -4\left( 1\right)(-6) } }{2}[/tex]
Then
[tex]t=\frac{6\pm \sqrt{36 +24 } }{2}[/tex]
Then
[tex]t=\frac{6\pm \sqrt{60 } }{2}[/tex]
Then
[tex]t=\frac{6\pm 2\sqrt{15 } }{2}[/tex]
Then
t = 3 ± √15
Then
t = 3 + √15 or t = 3 - √15
…………………………………………………
b.
t = 3 + √15 = 6.872983346207 ≈ 6.87
or t = 3 - √15 = -0.872983346207 ≈ -0.87
Matching a Table to a Graph On a coordinate plane, a line goes through points (negative 1, 0), (0, 1), and (1, 2). Which table goes with the graph? A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries 0, 4, 6, 8. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries 0, 2, 4, 6. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries 0, 1, 2, 3.
At x = -1 , 0 ,1 ,2 , the y value = 0, 1, 2, 3, Option C is the correct answer.
What is a Function ?A function is a law that relates a dependent variable to an independent variable.
The points of line are
(- 1, 0), (0, 1),(1, 2).
The equation of the line formed will be
y = mx +c
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
m = 1
y = x +c
at x = 0 , y =1
c = 1
The equation is
y = x+1
The option 1 is
x = - 1, 0, 1, 2.
y1 = 0, 4, 6, 8.
y2= 0, 2, 4, 6
y3 =0, 1, 2, 3.
From the equation
at x = -1 , 0 ,1 ,2
the y value = 0, 1, 2, 3
Therefore Option C is the correct answer.
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Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.
Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?
Lines m and n intersect at point Q. A circle is drawn around point Q and forms point S on line m and forms point N on line l. Point P is also on line m. A circle is drawn around point P and forms point T on line m.
Use the compass to construct a circle centered at Q through point P.
Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q.
Use the compass to construct a circle centered at P through point Q.
Mark this and return
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope. The correct option is C.
How are parallel straight lines related?Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2 , thus its slope is 2 and thus, the slope of the needed line is 2 too.
The next step that Gerald should take is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
Hence, the correct option is C.
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Which table can be generated from the equation y = 2x + 17
Step-by-step explanation:
x | y
-2.| 13
-1. | 15
0. | 17
1. | 19
2. | 21
just start with the y-intercept and then add 2 or subtract two depending on whether your increasing x or decreasing x. as x increases 1 y increases 2.
Determine the horizontal asymptote for the rational function.
Y= 5
Y= -5
Y= 1
Y= -1
Answer:
The horizontal asymptote is y=1 and
The vertical asymptote is x=5
Which of the following is the quadratic parent function?
A. F(x) = x + 1
B. F(x) = Ixl
C. F(x)=x²
D. F(x) = 2x
Answer:
C
Step-by-step explanation:
A quadratic has to have an exponent of 2 somewhere. The only one of these functions that does is C
The quadratic parent function is f ( x ) = x²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
f ( x ) = x²
The graph of the function f(x) = x² is a parabola that opens upward, symmetric with respect to the y-axis, and its vertex is at the origin (0, 0)
Now , the value of y is the square of x
Hence , the parent function is f ( x ) = x² and graph is plotted
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Which equations are true for x = -2 and x = 2? Select two options
A x²-4=0
B x²=-4
B 3x² + 12 = 0
C 4x² = 16
D 2(x-2)² = 0
Answer:
A and C
Step-by-step explanation:
solving the equations
A
x² - 4 = 0 ( add 4 to both sides )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2 ← required solution
B
x² = - 4 ← has no real solutions
C
4x² = 16 ( divide both sides by 4 )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2 ← required solution
D
2(x - 2)² = 0 , then
x- 2 = 0 ( add 2 to both sides )
x = 2 ← not the required solution
Answer:
Answer A and C
Step-by-step explanation:
Let us solve the equations one by one and let us check whether the answers are matching with the answers given in the questions.
A) x² - 4 = 0
( x² - 2² ) = 0
( x -2 ) ( x + 2 ) = 0
∴ x - 2 = 0 or x + 2 = 0
x = 2 x = -2 ( Matched )
B) x² = -4
x = ±√-4 ← no real solutions (Not matched )
B) 3x² + 12 = 0
3 ( x² + 4 ) = 0
3 ( x² + 2² ) = 0 ← no real solutions (Not matched)
C) 4x² = 16
Divide both sides by 4.
x² = 4
x = ±√4
∴ x = 2 or x = -2 (Matched)
D) 2 ( x - 2 )² = 0
(2x - 4)² = 0
4x² - 16x + 16 = 0
Divide the whole equation by 4.
x² - 4x + 4 = 0
x² - 2x - 2x + 4 = 0
x ( x - 2 ) - 2 ( x - 2 ) = 0
( x - 2 ) ( x - 2) =
∴ x - 2 = 0 or x - 2 = 0
x = 2 x = 2 ( Not matched )
In △BCD, BP=15 cm.
What the length of BX?
Answer:
10
Step-by-step explanation:
BX=2/3 (BP)
2/3 of 15 = 10
If math 7x+10y=−3 is a true equation, what would be the value of 21x+30y?
The value of the expression 21x + 30y is -9
How to evaluate the expression?The equation is given as:
7x+10y=−3
Multiply both sides by 3
3 * 7x + 3 * 10y=−3 * 3
Evaluate the product
21x + 30y = -9
Hence, the value of the expression 21x + 30y is -9
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What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.
Answer:
31
Step-by-step explanation:
x + 149 = 180
x = 180 - 149
x = 31
Answer: 31
Answer:
31°
Step-by-step explanation:
x + 149° = 180°
reason : because they are supplementary angle...
x = 180° - 149°
x = 31°
[tex]...[/tex]
2,753 people go to a concert and tickets cost $5 each. If it costs $8,000 to put on the concert, how much money was made?
Answer:
Money made by tickets=
2753 x $5 = $13765
We have to subtract the cost of the concert from the money made by tickets to get our profit. Therefore,
$13765 - $8000 = $5765
the cost of kg of apples is $262.50. find the cost of 25 kg of apples
Answer:
Step-by-step explanation:
cost of 25 kg =262.50x25
=6562.5
Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8
Step-by-step explanation:
The translations of the typical functions are
[tex]y = a(bx + c) + d[/tex]
Where a is the vertical translation,
If a is greater than 1 or less than -1, we have a vertical stretch
If a is between -1 and 1 , we have a vertical compressions or shrink.
If a is negative, we have a negative reflection across the x axis.
If b is greater than 1 or less than -1, we have a horizontal compression or shrink
If b is between -1 and 1, we have a horizontal stretch
If b is negative, we have a reflection about the y axis,
If c is negative, we have a translation to the right c units
If c is positive, we have a translation to the left c units
If d is positive, we have a translation upward d units
If d is negative, we have a translation downward d units.
Here in this problem, our parent function is x^3.
So I would do the following transformations.
Reflect about the x axis Vertical Shrink by a factor of 1/2Horizontal Shrink by a factor of 3Shift to the left 4 unitsShift downward 8 units.The international air transport association surveys business travelers to develop quality ratings for transatlantic gateway airports. the maximum possible rating is 10. suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the miami international airport. the ratings obtained from the sample of business travelers follow. 8 8 4 0 5 5 5 4 4 4 4 3 10 6 10 10 0 8 5 4 3 2 4 7 8 9 10 8 4 5 5 4 4 3 8 9 9 5 3 9 8 8 5 10 4 10 5 5 3 3 develop a confidence interval estimate of the population mean rating for miami. round your answers to two decimal places. ( , )
Using the t-distribution, the 95% confidence interval of the population mean rating for Miami is (4.97, 6.51).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The parameters for this problem are given as follows:
[tex]\overline{x} = 5.74, s = 2.7, n = 50[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.
Hence the bounds of the interval are given as follows:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 5.74 - 2.0096\frac{2.7}{\sqrt{50}} = 4.97[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 5.74 + 2.0096\frac{2.7}{\sqrt{50}} = 6.51[/tex]
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I need help for solving y in this problem 2x -y =1
Answer:
y = 2x - 1
Step-by-step explanation:
Given equation: 2x - y = 1
We're being asked to solve for y. This is also known as the Slope-Intercept Form. It is represented by the following formula:
y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)Steps:
1. Subtract 2x from both sides:
[tex]\sf 2x-2x - y = 1-2x\\\\\implies-y=-2x+1[/tex]
2. Divide both sides by -1:
[tex]\sf \dfrac{-y}{-1}=\dfrac{-2x+1}{-1}\\\\\implies y=2x-1[/tex]
This equation has a slope of 2, and a y-intercept of -1.
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Hey guys need help here
Answer:
[tex]\boxed {D) -\frac{2y}{x}}[/tex]
Step-by-step explanation:
Solving :
[tex]\implies \mathsf {\frac{(-2xy^{2})^{3}}{4x^{4}y^{5}}}[/tex]
[tex]\implies \mathsf {\frac{-8x^{3}y^{6}}{4x^{4}y^{5}}}[/tex]
[tex]\implies \mathsf {\frac{-2y}{x}}[/tex]
The quadrilateral below is formed from a parallelogram and an
isosceles triangle.
Calculate the size of angle VQU.
Answer:
VQU =58°
Step-by-step explanation:
angle QUV is 61 because of F angles (I don't know what they call them in ur country)
triangle QUV is an isosceles triangles so base angles are the same
61+61=122
180-122=58
Question 2
In Question 1, what do you notice about the y-coordinates before and after a horizontal stretch? What do you notice about the x-coordinates
before and after a vertical stretch?
Answer:
The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.
Step-by-step explanation:
Dr. Silas studies a culture of bacteria under a microscope. The function b1t=500(1.6)t represents the number of bacteria t hours after Dr. Silas begins her study. Is this an exponential growth or decay? Explain how you know. What does the value 500 represent in this situation? The number of bacteria in a second study is modeled by the function b2t=800(1.6)t. What is the growth rate, r, for this equation? What does the difference of 500 and 800 mean between the two studies?
Answer:
b is your answer
Step-by-step explanation:
f
Which graph represents the function r(x) = |x-21-1
I assume you meant r(x) = |x-2| -1.
Juniors and seniors were surveyed about whether they plan to attend a school dance.
94 out of 130 juniors plan to attend.
12 out of 140 seniors do not plan to attend.
The following table shows the results.
(see attachment for table)
What mistake was made in the table?
A. The total for the number of seniors is incorrect
B. The responses for the juniors are reversed
C. The number of juniors attending is incorrect
D. The responses for the seniors is incorrect
Answer:
The responses for the seniors are reversed.
Hope this helped!
the heights of the students in a spanish class were measured. from the given data set, determine how many students are 65 inches or taller. a. 2 b. 3 c. 5 d. 4
There are 5 students who are 65 inches or taller. Option C is correct.
What is the height?Height is defined as the vertical distance between an object's top and bottom. It is measured in centimeters, millimeters, meters, and other units.
The term "height" is frequently used to describe someone's or something's height.
The height of the student in the Spanish class in the data set;
65, 63, 67, 59, 73, 60, 68, 61, 64, 60, 69
Student's heights are 65 inches or taller from the data set are;
65,67,73,68,69
There are 5 students who are 65 inches or taller.
Hence, option C is correct.
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Mariana runs a farm stand that sells bananas and grapes. Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Mariana made $72 from selling a total of 52 pounds of bananas and grapes. Graphically solve a system of equations in order to determine the number of pounds of bananas sold, x, and the number of pounds of grapes sold, y.
Answer:
jackson sold 27 pounds of bananas and 12 pounds of grapes :D
Step-by-step explanation:
Taking into account the definition of a system of linear equations, the number of pounds of bananas and grapes sold are 36 and 16 respectively.
System of linear equationsA set of two or more first-degree equations with two or more connected unknowns is referred to as a system of linear equations.
Finding the value of each unknown in order to satisfy all of the system's equations constitutes the process of solving an system of equations. To put it another way, it is necessary to find the values of the unknowns, as they must be replaced with values that, when used to solve the equations, is the process of solving a system of equations
This caseIn this case, a system of linear equations must be proposed taking into account that:
"x" is the number of pounds of bananas sold."y" is the number of pounds of grapes sold.You know:
Each pound of bananas sells for $1 and each pound of grapes sells for $2.25. Mariana made $72 from selling a total of 52 pounds of bananas and grapes.The system of equations to be solved is
x +y= 52
x + 2.25y= 72
There are several methods to solve a system of equations, it is decided to solve it using the graphical method. The system's equations are graphically represented by graphs in the graphical method. The solution of the system is the point of intersection between the graphs, since the coordinates of said point satisfy both equations.
Graphically, it can be seen that the intersection point is (36; 16). That is, the value of x is 36 and the value of y is 16.
Finally, the number of pounds of bananas sold are 36 and the number of pounds of grapes sold are 16.
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solve the following equation in terms of x.
20x - 3y = z
Answer:
(3y+z)/20
Step-by-step explanation:
Begin by moving 3y to the right side of your equation:
20x=3y+z
Then divide both sides by 20 isolating x on one side of your equation:
x=(3y+z)/20
The required solution of the following equation 20x - 3y = z is
x=(3y+z)/20
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The following equation is
20x - 3y = z
According to given question we have
The equation is
20x - 3y = z
By simplifying we have to solve in terms of x
By move 3y to the right side of your equation:
20x=3y+z
Then divide both sides by 20 isolating x on one side of your equation:
x=(3y+z)/20
Therefore, the required solution of the following equation 20x - 3y = z is
x=(3y+z)/20
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if l and m are parallel,which pair of angles are supplementary?
Answer:
Option (1)
Step-by-step explanation:
Angles 2 and 5 are supplementary by the same-side interior angles theorem.
You want to create an ID code for the students in your school based on three characters. The first and second characters must be a letter of the alphabet, and the third must be a digit between 1 and 9 inclusive. To find out how many different codes there are, would a list or tree diagram be practical in this case? Why or why not?
a.) Yes, we have all the information we need
b.) Yes, this is one way to find the answer
c.) No, since there are too many choices
d.) No, we don’t have all the information we need
In the case above, there will be about 6084 different codes and thus would tree diagram would not be practical in this case because option C. No, since there are too many choices.
What is the tree diagram about?Since there are 26 letters in an alphabet and only 9 digits in the third place is to be used.
Therefore, multiply the total number of alphabet cases is formed using letters in the first two characters and the digit in the third place and thus it will be:
26 × 26 × 9 = 6084
If a person is to show these 6084 cases using a tree diagram, it will be very complex and thus In the case above, there will be about 6084 different codes and thus would tree diagram would not be practical in this case because option C. No, since there are too many choices.
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